MathCastleCompetition practice
Number Theory Open
Individual Round
Pure number theory: two original ten-problem papers (primes, orders, totients, valuations, Diophantine equations, digits), from a real opener to olympiad-flavoured finishers. Worked solutions throughout.
How a paper runs
10 problems · 30 minutes
- This round has 10 problems. You have 30 minutes.
- No calculators. Write your final answer in the blank beside each problem.
- Answers must be simplified, with fractions in lowest terms.
Practice papers
- Number Theory Open — Practice Contest 1 Sit it PDF
- Number Theory Open — Practice Contest 2 Sit it PDF
An original MathCastle competition.